Topologically protected transport is among the principal hallmarks of topological insulators (TIs)[1]}, [2]}, [3]}, [4]}, [5]}, [6]}, materials that exhibit an insulating behavior in their bulk, while allowing electron conduction via mid-gap topologically protected edge states on the surface. This protection is naturally manifested in photonic two-dimensional TIs in the presence of structural imperfections or disorder where the chiral edge modes are immune to back-scattering [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, thus ensuring a one-way light transport. On the other hand, in one-dimensional topological settings, like that associated with the Su-Schrieffer-Heeger (SSH) model [13]}, the edge states are zero-dimensional and therefore exhibit no transport properties. However, by using topological pumping schemes (in either space or time) one may be able to artificially increase the dimensionality of a given topological configuration. For example, Thouless pumping protocols  [14]}
can provide a route for edge to edge light transport even in one-dimensional systems [15]}, [16]}, which happens to be robust against random defects. Within the context of photonics, such Thoulesse schemes have been recently demonstrated in 1D waveguide arrays  [17]}, [18]}, [19]}. Furthermore, the concept of Non-Abelian Thouless pumping in a photonic lattice has also been lately proposed [20]}.
